Решебник по математике 5 класс Ерина Виленкин рабочая тетрадь Часть 1, 2 Часть 1 | Страница 68

\[Страница\ 68.\]

\[\boxed{\mathbf{9}.}\]

\[\textbf{а)}\ 10\]

\[\textbf{б)}\ 2\]

\[\textbf{в)}\ 8\]

\[\textbf{г)}\ 7\]

\[\textbf{д)}\ 5\]

\[\textbf{е)}\ 11\]

\[\textbf{ж)}\ 1\]

\[\textbf{з)}\ 0\]

\[\textbf{и)}\ 4\]

\[\boxed{\mathbf{10}.}\]

\[\textbf{а)}\ 2 \cdot 8^{2} - 24 \cdot 5 + 27 =\]

\[= 2 \cdot 64 - 120 + 27 =\]

\[= 128 - 120 + 27 = 35\]

\[\textbf{б)}\ \left( 5^{2} + 7 \cdot 8 \right)\ :\left( 2^{2} + 5 \right) =\]

\[= (25 + 56)\ :(4 + 5) = 81\ :9 =\]

\[= 9\]

\[\textbf{в)}\ 3 \cdot \left( 7^{2} + 15^{2} - 7 \cdot 17 \right) =\]

\[= 3 \cdot (49 + 225 - 119) =\]

\[= 3 \cdot (274 - 119) =\]

\[= 3 \cdot 155 = 465\]

\[\textbf{г)}\ 5 \cdot 8^{2} + 10 \cdot 3^{3} - 16 =\]

\[= 5 \cdot 64 + 10 \cdot 27 - 16 =\]

\[= 320 + 270 - 16 =\]

\[= 590 - 16 = 574\]

\[\textbf{д)}\ 18^{3}\ :6 + \left( 2^{3} + 4^{2} \right) =\]

\[= 5832\ :6 + (8 + 16) =\]

\[= 972 + 24 = 996\]

\[\textbf{е)}\ 94 \cdot 85 - 21^{2} = 7990 - 441 =\]

\[= 7549\]

\[\boxed{\mathbf{11}.}\]

\[38x^{2} - \left( 13x^{2} + 121 \right) =\]

\[= 38x^{2} - 13x^{2} - 121 =\]

\[= 25x^{2} - 121\]

\[x = 5:\]

\[25 \cdot 5^{2} - 121 = 25 \cdot 25 - 121 =\]

\[= 625 - 121 = 504.\]

\[\boxed{\mathbf{12}.}\]

\[\textbf{а)}\ 48^{3} < 48^{2} \cdot 50\ \]

\[\textbf{б)}\ 17^{3} > 17^{2} \cdot 10\]

\[\textbf{в)}\ 19^{3} = 19 \cdot 19^{2}\]

\[\textbf{г)}\ 8^{3} = 64 \cdot 8\]

\[\boxed{\mathbf{13}.}\]

\[1)\ верно;\]

\[2)\ неверно:6^{2} = 36;\]

\[3)\ неверно:0^{2} = 0^{3};\]

\[4)\ верно.\]

\[Страница\ 69.\]

\[18.\ Делители\ и\ кратное\]